Results 41 to 50 of about 18,044,700 (176)
Near Surface Geophysics, EarlyView.Abstract In studies of subsurface hydrology, monitoring and imaging techniques are used to estimate the moisture content, or to track moisture or injected tracer movement. One applied imaging technique is electrical resistance tomography (ERT), in which measurements collected using electrodes placed on the ground surface or in boreholes are used to ...
Mikko Räsänen +3 more
wiley +1 more source
How to get a conservative well-posed linear system out of thin air. Part I. Well-posedness and energy balance [PDF]
, 2003 Published ...
Tucsnak, Marius +5 more
core +1 more source
Global well-posedness of damped multidimensional generalized Boussinesq equations
Electronic Journal of Differential Equations, 2015 We study the Cauchy problem for a sixth-order Boussinesq equations with the generalized source term and damping term. By using Galerkin approximations and potential well methods, we prove the existence of a global weak solution. Furthermore, we study
Yi Niu, Xiuyan Peng, Mingyou Zhang
doaj
Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
On global well-posedness of the modified KdV equation in modulation spaces [PDF]
, 2021 We study well-posedness of the complex-valued modified KdV equation (mKdV) on the real line. In particular, we prove local well-posedness of mKdV in modulation spaces M^{2,p}(\R) for s≥ 1 and 2≤p<∞.
Oh, Tadahiro +3 more
core +1 more source
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
Global well-posedness for the derivative nonlinear Schrodinger equation
, 2022 International audienceThis paper is dedicated to the study of the derivative nonlinear Schrödinger equation on the real line. The local well-posedness of this equation in the Sobolev spaces H s (R) is well understood since a couple of decades, while the ...
Perelman, Galina, Bahouri, Hajer
core +2 more sources
Global Well-Posedness for Supercritical SQG With Perturbations of Radially Symmetric Data [PDF]
We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics.
Bulut, Aynur, Dong, Hongjie
core +2 more sources
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The safety verification of neural network (NN) controllers operating in uncertain environments characterized by unmodeled dynamics, nonlinearities, and time delays remains a fundamental challenge in robust control analysis. This article introduces a novel method, termed Keep‐Close, for analyzing the performance and robustness of uncertain ...
Abdelhafid Zenati, Nabil Aouf
wiley +1 more source
Global well-posedness of NLS-KdV systems for periodic functions
Electronic Journal of Differential Equations, 2007 We prove that the Cauchy problem of the Schrodinger-Korteweg-deVries (NLS-KdV) system for periodic functions is globally well-posed for initial data in the energy space $H^1imes H^1$.
Carlos Matheus
doaj